The role of non-Archimedean epsilon in finding the most efficient unit: with an application of professional tennis players

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F14%3A86092179" target="_blank" >RIV/61989100:27510/14:86092179 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.apm.2014.04.010" target="_blank" >http://dx.doi.org/10.1016/j.apm.2014.04.010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2014.04.010" target="_blank" >10.1016/j.apm.2014.04.010</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The role of non-Archimedean epsilon in finding the most efficient unit: with an application of professional tennis players

Popis výsledku v původním jazyce

The determination of a single efficient decision making unit (DMU) as the most efficient unit has been attracted by decision makers in some situations. Some integrated mixed integer linear programming (MILP) and mixed integer nonlinear programming (MINLP) data envelopment analysis (DEA) models have been proposed to find a single efficient unit by the optimal common set of weights. In conventional DEA models, the non-Archimedean infinitesimal epsilon, which forestalls weights from being zero, is uselessif one utilizes the well-known two-phase method. Nevertheless, this approach is inapplicable to integrated DEA models. Unfortunately, in some proposed integrated DEA models, the epsilon is neither considered nor determined. More importantly, based on this lack some approaches have been developed which will raise this drawback. In this paper, first of all some drawbacks of these models are discussed. Indeed, it is shown that, if the non-Archimedean epsilon is ignored, then these models ca

Název v anglickém jazyce

The role of non-Archimedean epsilon in finding the most efficient unit: with an application of professional tennis players

Popis výsledku anglicky

The determination of a single efficient decision making unit (DMU) as the most efficient unit has been attracted by decision makers in some situations. Some integrated mixed integer linear programming (MILP) and mixed integer nonlinear programming (MINLP) data envelopment analysis (DEA) models have been proposed to find a single efficient unit by the optimal common set of weights. In conventional DEA models, the non-Archimedean infinitesimal epsilon, which forestalls weights from being zero, is uselessif one utilizes the well-known two-phase method. Nevertheless, this approach is inapplicable to integrated DEA models. Unfortunately, in some proposed integrated DEA models, the epsilon is neither considered nor determined. More importantly, based on this lack some approaches have been developed which will raise this drawback. In this paper, first of all some drawbacks of these models are discussed. Indeed, it is shown that, if the non-Archimedean epsilon is ignored, then these models ca

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

AE - Řízení, správa a administrativa

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

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Svazek periodika

21-22

Číslo periodika v rámci svazku

38

Stát vydavatele periodika

BE - Belgické království

Počet stran výsledku

13

Strana od-do

5334-5346

Kód UT WoS článku

000345182100027

EID výsledku v databázi Scopus

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